I agree with @skieurope and @compmom . AO’s are not reading your essay to learn about a subject. They want these essays as a way of gauging your writing ability as per your teacher and they want to see the grade. But you can’t exceed the stated limitations of Princeton’s requirement so you have to consider that too.
I’d add to this by saying that some of the proponents of string theory appear to associate the theory favorably with the precise predictive capabilities of quantum mechanics. As far as I can tell, this may not represent a logical association.
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